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52255632 = 243111323331
BaseRepresentation
bin1100011101010…
…1101110010000
310122022212020210
43013111232100
5101334140012
65104004120
71203110532
oct307255620
9118285223
1052255632
1127551480
1215600640
13aa97cc0
146d23852
1548c323c
hex31d5b90

52255632 has 160 divisors (see below), whose sum is σ = 165989376. Its totient is φ = 13939200.

The previous prime is 52255613. The next prime is 52255639. The reversal of 52255632 is 23655225.

52255632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52255632.

It is not an unprimeable number, because it can be changed into a prime (52255639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157707 + ... + 158037.

Almost surely, 252255632 is an apocalyptic number.

52255632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688).

52255632 is an abundant number, since it is smaller than the sum of its proper divisors (113733744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52255632 is a wasteful number, since it uses less digits than its factorization.

52255632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 52255632 is about 7228.8057104891. The cubic root of 52255632 is about 373.8617503071.

The spelling of 52255632 in words is "fifty-two million, two hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 176 184 208 253 264 276 286 299 312 331 368 429 506 528 552 572 598 624 662 759 858 897 993 1012 1104 1144 1196 1324 1518 1716 1794 1986 2024 2288 2392 2648 3036 3289 3432 3588 3641 3972 4048 4303 4784 5296 6072 6578 6864 7176 7282 7613 7944 8606 9867 10923 12144 12909 13156 14352 14564 15226 15888 17212 19734 21846 22839 25818 26312 29128 30452 34424 39468 43692 45678 47333 51636 52624 58256 60904 68848 78936 83743 87384 91356 94666 98969 103272 121808 141999 157872 167486 174768 182712 189332 197938 206544 251229 283998 296907 334972 365424 378664 395876 502458 567996 593814 669944 757328 791752 1004916 1088659 1135992 1187628 1339888 1583504 2009832 2177318 2271984 2375256 3265977 4019664 4354636 4750512 6531954 8709272 13063908 17418544 26127816 52255632